401315240 has 64 divisors (see below), whose sum is σ = 920808000. Its totient is φ = 157386240.

The previous prime is 401315231. The next prime is 401315249. The reversal of 401315240 is 42513104.

It is an interprime number because it is at equal distance from previous prime (401315231) and next prime (401315249).

It is a super-2 number, since 2×401315240² = 322107843712515200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is not an unprimeable number, because it can be changed into a prime (401315249) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 494435 + ... + 495245.

It is an arithmetic number, because the mean of its divisors is an integer number (14387625).

Almost surely, 2^401315240 is an apocalyptic number.

401315240 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 401315240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (460404000).

401315240 is an abundant number, since it is smaller than the sum of its proper divisors (519492760).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

401315240 is a wasteful number, since it uses less digits than its factorization.

401315240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1050 (or 1046 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 20.

The square root of 401315240 is about 20032.8540153419. The cubic root of 401315240 is about 737.6129804888.

Adding to 401315240 its reverse (42513104), we get a palindrome (443828344).

The spelling of 401315240 in words is "four hundred one million, three hundred fifteen thousand, two hundred forty".